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Simplifying -8(k + -2) + -1(4k + -3) = -13k Reorder the terms: -8(-2 + k) + -1(4k + -3) = -13k (-2 * -8 + k * -8) + -1(4k + -3) = -13k (16 + -8k) + -1(4k + -3) = -13k Reorder the terms: 16 + -8k + -1(-3 + 4k) = -13k 16 + -8k + (-3 * -1 + 4k * -1) = -13k 16 + -8k + (3 + -4k) = -13k Reorder the terms: 16 + 3 + -8k + -4k = -13k Combine like terms: 16 + 3 = 19 19 + -8k + -4k = -13k Combine like terms: -8k + -4k = -12k 19 + -12k = -13k Solving 19 + -12k = -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 19 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k 19 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 19 + 1k = 0 Add '-19' to each side of the equation. 19 + -19 + 1k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1k = 0 + -19 1k = 0 + -19 Combine like terms: 0 + -19 = -19 1k = -19 Divide each side by '1'. k = -19 Simplifying k = -19
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